Cremona's table of elliptic curves

40800 = 2⁵ · 3 · 5² · 17

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 17+	Signs for the Atkin-Lehner involutions
Conductor	40800	Conductor
Count	4	Number of curves in isogeny class
Curves	40800d1 40800d2 40800d3 40800d4	Curves in isogeny class
deg	98304	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5+  4 -4  2 17+  8	Hecke eigenvalues for primes less than 20
L	5.6923064785878	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	40800y 81600ie 122400dt 8160r	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 40800d

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	+	+	4	-4	2	+	8	-4	-2	-4	-6	2	0	0	2	0	-2	8	-12	-2	-12	8	10	6

---

Quadratic twists for isogeny class 40800d

-4	8	-3	5
40800y	81600ie	122400dt	8160r

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations